Endpoint Behavior of the Bergman Projection on a Class of n-dimensional Hartogs Triangles

For a natural class of generalized Hartogs triangles in \(\mathbb {C}^n\) ${\mathbb{C}}^n$ , we determine the weak-type regularity of the Bergman projection at the endpoints of the interval of \(L^p\) $L^p$ boundedness. The Bergman projection for these non-smooth domains satisfies a weak-type estimate at the upper endpoint but not at the lower endpoint.